Question

1x -8 < 2x + 1
What is the largest integer value that makes this inequality true

Answer 1

The largest integer value that makes the inequality true is 9.

General Formulas and Concepts:
Algebra I

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Terms/Coefficients

Explanation:

Step 1: Define

Identify.

1x - 8 < 2x + 1

Step 2: Solve for x

1. Simplify: x - 8 < 2x + 1
2. [Subtraction Property of Equality] Subtract x on both sides: -8 < x + 1
3. [Subtraction Property of Equality] Subtract 1 on both sides: -8 < x
4. Rewrite: x > -8

∴ we see that any number x greater than -8 would work as a solution to the inequality. That would mean the next largest integer, 9, would be our answer.

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Topic: Algebra I